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Question

For a linear function $f (x)$ defined on the interval $open bracket negative 3 comma 7 close bracket$ , sketch the function given the following conditions:

i) The graph of $f (x)$ is composed of connected line segments.

ii) The initial point of the graph is $open paren negative 3 comma 0 close paren$ .

iii) The derivative of $f (x)$ is represented by a step function.

Graph of a step function with segments at y=1, y=0, and y=-3, showing derivative of a linear function on a grid.

Accepted Answer

Answer

Graph of a piecewise linear function with segments from (-3,0) to (0,3), (0,3) to (3,-2), and (3,-2) to (7,3).

Answer

Graph of a piecewise linear function f(x) with segments from (-3,0) to (7,3) on a coordinate plane.

Answer

Graph of a piecewise linear function with segments from (-3,0) to (0,3), (0,3) to (3,-2), and (3,-2) to (7,-2).